Generally they do have central locking controlled from the drivers door but not keyless entry.
You can add a slave in the passenger's door so you have keyless entry if you wish.
If you lock the drivers door and the passengers door locks then you have central locking, if it doesn't then you dont have it/it is broken.
Pull the door skin off the drivers door and see if you can spot the actuator, if its there then its faulty/broken so will need replacing